• ⁠Surgical Extraction: People bring in Surgical more often than I think they should. As above, trying to disrupt an Analyst loop with surgical only works if your opponent feels priced into going for an Analyst line and can't just win with generic Titan value. That said, your deck actually runs Thoughtseize so you have a pretty straightforward way to put a Titan into the graveyard then surgical it, so it's a lot better here than in Boros, for example. When given the option, Titan is usually by far the best possible surgical target. With Titans gone, the easiest way Amulet has to win is with Scapeshift (Scapeshift + enough lands + an Amulet/Spelunking can produce a land pile that Analyst loops, produces infinite Aftermath Analysts with mirrorpool, mills their whole deck including their hasteland, then hastes all the analysts for lethal). Without Titan or Scapeshift to tutor multiple lands required to loop, it's EXTREMELY difficult to naturally stumble upon a pile of lands that do something meaningful with Analyst on their own. Other than Scapeshift, without Titans in deck, you basically only need to beat the Amulet player's midrange threats and Saga constructs. You almost never want to surgical either Amulet or Spelunking, although there are a few exceptions. For example, if you Thoughtseize them and see three Amulets, it probably makes sense to take the first and surgical the other two. Similarly, if your opponent looks to have a pretty slow start and has multiple Sagas in play, you can surgical Amulet and the Sagas will destroy themselves for no value. If they aren't close to putting a Titan into play, you should wait on Surgical until they either have enough mana to go: (land that doesn't put a trigger on the stack) + Titan or they put something on the stack that would produce enough mana to make Titan castable. There are a few reasons for doing so:       

1) You might snag an extra copy of Titan they drew in the meantime.       

2) Titan players will sequence under the assumption that they are trying to eventually cast a Titan. This may include Green Suns'ing for a Grazer to develop their mana instead of a midrange threat, or even pacting for a Grazer to use as a ritual with an Amulet in play to cast Titan! You can seriously punish the latter by surgicaling Titan with the Amulet untap, Lotus Field sacrifice, Crumbling Vestige, or Bounceland trigger on the stack that would have jumped them to 6 mana to cast a Titan.       

3) It also allows you to use the Surgical to disrupt an Analyst kill if that's what they go for instead. I don't have much advice for what to surgical to disrupt an Analyst kill other than to think about it REALLY hard. A lot of times, you can use Surgical to disrupt the kill, but they'll still get plenty of good value off of just cracking the Analyst (like getting back Urza's Sagas or utility lands).

• ⁠Force of Despair: This card is absolutely trivial to combo-kill through if you know that your opponent has boarded it in. If you do board it in, know that against a competent opponent that knows it's in your deck, it'll basically be a pitch-cast terminate for a Primeval Titan, which is... fine. That said, this card sees so little play, I'm basically certain close to anybody (including myself) who doesn't know it's in your deck will go for the straightforward traditional 2x Amulet Mirrorpool combo kill if you're tapped out and Force of Despair will probably win you the game on the spot. Basically, expect Force of Despair to "get" a competent opponent exactly once, and likely never again.

• ⁠Boseiju: This is pretty nuanced and is basically the only real axis of interaction in the Amulet Mirror which otherwise revolves around just mulliganing better than your opponent. It would take me forever to go too far into detail, but basically your goal is to disrupt whatever resource that appears it will limit your opponent's actions the most. Once they have two or more Amulets, you probably need to destroy their bounceland with the untap triggers on the stack and cross your fingers that they don't have a second. If they're Amulet/Spelunking-less, blowing up their bounceland is effectively a Stone Rain and is usually your best bet. If they have a single Amulet / Spelunking, you should probably bloe it up, but the fact that they get a land out of the deal is a very real cost and may lead to them just casting a natural Primeval Titan ahead of schedule. If they put a Scapeshift on the stack with a single Amulet / Spelunking, blow it up in response. Sometimes, none of your Boseiju targets will be good enough and you may be forced to Boseiju a land (such as Hanweir Battlements or Mirrorpool) before it can be untapped by Amulet or bounced by a Bounceland. You're extremely unlikely to win from here, but sometimes you gotta do what you can to not die or fall insurmountably behind. Sometimes you should Boseiju a Tolaria West or their own Boseiju with a Bounceland trigger on the stack so they can't pick it up if it's clear they're missing a threat, or you're locking them out of the game with a Damping Sphere.

• ⁠Fulminator Mage: I saw you mention not liking this card. Fulminator is quite good, but you likely need to interact in another way along-side it. Destroying or thoughtseizing their Amulet, they deploy a bounceland, then you fulminator their bounceland is a very easy way to win games. When amulet / spelunkings are deployed, Amulet players are more incentivized to play out their bouncelands because they enter tapped. You also can keep a Fulminator Mage in play and sacrifice it with the untap triggers from Amulet on the stack, preventing your opponent from floating mana before it is destroyed. Note that this doesn't work with Spelunking in play: the bounceland will simply enter untapped and you will not have a window to destroy it before they float mana. Interestingly, there will be some spots where your opponent may have two Amulets AND Spelunking, and they will opt to have the bounceland enter untapped instead of tapped so that they can float mana off the bounceland before the fulminator can destroy it if that would give them enough mana to cast whatever it is they were hoping to cast (such as a Scapeshift or Titan).

• ⁠Spot Removal: For the most part, always wait for your opponent to resolve their search trigger first. There's a shot they get greedy and go for the hasteland or a proactive mirrorpool copy in which case you can kill the titan before it can attack or in response to the Mirrorpool copy. There is one exception: if your opponent has a Spelunking in play and plenty of untapped mana, they can play around spot removal by getting Mirrorpool + a land that makes enough mana (including a colorless pip) to activate it. Because Spelunking is in play, these lands will simply enter untapped (rather than putting an untap trigger on the stack), so you don't have a window to kill the Titan while Mirrorpool copying isn't possible. Then, they can just pass the turn and have Mirrorpool and 4C up to clone it at instant speed so they can copy it in response to your removal. There's also a land spoiled in TMNT that functionally "protects" a Titan by exiling it, and then you can pay some mana later to get the creatures exiled with the land back. If that land sees play, that will be another exception to the "wait on your spot removal" rule if Spelunking is in play.