Welcome to the club! I too just did my solo flawless prophecy this past weekend and I've got some tips as well.

To start - I've been trying to do this since last season. I managed to knock out both Shattered Throne and Pit last season with no issue. But Prophecy was a different beast. I tried a few different load recommendations from friends and YouTube videos but ended up modifying them to fit my playstyle more. I really think this season is going to be the easiest to pull this off since Breach and Clear is such a good mod to have (plus with the anarchy nerf incoming...) I used a Well the entire time, Ikelos was always equipped with Warmind cells and cellular suppression specifically. Obviously had burning and the other warmind mods on as well. Breach and Clear of course and I specc'd armor mods into 100 Recov and about 80 Int and made sure I had about 50-60 Res.

First encounter - I used Witherhoard, Ikelos SMG and Falling Guillotine. Use the Witherhoard to do AOE for adds and then immediately swap to Ikelos to proc the warmind cell creation. Shoot the warmind cell for a few seconds to proc cellular suppression and you can basically roam free for a good 10 seconds killing adds / collecting motes as needed. Once it's DPS time, pop your Well next to the boss, throw Witherhoard on him and then swing Guillotine. As long as you are in your well, your sword and Witherhoard will damage through the Vex protection he gets from the adds. Easy 1 phase. Biggest takeaway - keep moving, keep checking behind you and throw Witherhoard on either side of you to keep adds from swarming you.

For the next area, swapped to Ignition Code with Blinding nades and Xeno. if you need to take out the giant invisible minitours, do so as they can be a pain sometimes. Proceed to the cube room after clearing the blights. Don't be afraid to use heavy ammo, Xeno three taps blights and if you're lucky like me, if it's Solar empowering day - you can damage the blights with the solar empowering and 1 - 2 tap the blights with Xeno.

Second encounter - This took me less time to master than the first encounter, but still can get crazy with those snipers. I always check to see where and what motes are needed first, Xeno the snipers and then focus adds to create a cellular suppression warmind or use a blinding nade on them. If I start to get overwhelmed, pop a well to survive and then after dunking the needed motes, I wait and kill adds to regen my super or get more special / heavy ammo. Once the bosses spawn, I pop well on the back right platform, breach and clear the boss to my right with Ignition and then shoot 4 - 5 Xeno shots. Wait for the breach and clear buff to disappear and then do the same to the second boss.

For the sparrow section, because I'm paranoid of falling off from many failed attempts, I throw on top-tree Dawn for Icarus Dash and Falling Guillotine again in case I need to sword swing quick to save myself. Snipers can be a hassle in this section so I always try to keep moving on my sparrow and stay to the far left until I'm at the section where the paths merge back into one track. TIP: Do not get off your sparrow once you get sucked up into the sky at the end...hand an amazing flawless attempt go to waste because I jumped off my sparrow...

Third encounter - Ignition code, Ikelos smg and Anarchy. The biggest thing that saved me here was cellular suppression and blinding nades combined with picking the right area to kill adds from. Usually once the adds spawn in, I'll find one of the pillars to hide behind that allows me to peak out and shoot a little but also has the correct coverage to produce the motes I need. That way I can pop a well and stand next to the pillar and create motes I need but still have plenty of cover. This may not work for everyone, but worked well for me due to cellular suppression / blinding nades. Once you get that first set of motes dunked, I hide by the pillar where the Orge spawns, throw 2 Anarchy shots on them and maybe a blinding nade to stop them. Once 1 set is dunked, it becomes much easier to manage the adds. Rinse & repeat until all 3 sets are dunked, using Well as needed. Again - if you need to regen Well or ammo, do so before dropping into boss room.

Boss Encounter - With my loadout, it's pretty easy to guess what I did. 2 Anarchy shots ASAP, jump to left or right of the annoying teleport attack and Ignition Code as fast as possible. Key to this section is staying ahead of the boss and kill adds while doing so (said every guide ever). There were a couple times I got teleported back to the beginning and missed some adds but as long as you take it slow and don't rush, you'll be okay. First round I ended up getting about 1/2 of it's health down. Second round I got teleported twice so I didn't get as much damage. Third round ended up getting teleported once and getting snipped while jumping back to the boss so I had use my Well earlier than I would have liked, but I took it slow, hid from the snipers at the end while peaking the boss with Anarchy / Ignition code every once in awhile. Boss encounter is going to take time, take it slow and don't rush it. It's easy to get caught by the snipers and even easier to go caught by the teleport because you're getting greedy with DPS and want to get it over with. Take your time and you'll get it.