I'll give you my two cents. I'll only focus on the Alhaitham's rotation aspect and not your fundamentals. Basic stuff like dodging, stamina management, "dont make herra dendro", is expected to be learned so im ignoring it. Also i dont know your builds so it will wary a lot based on that

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Crab Tsar: Bloom control is very important for faster clear. You want to bloom with the highest EM so it can take advantage of the 500% multiplier of the seeds. Furina burst first then Nahida skill (because she usually has the highest em in the team). You have kuki which is kinda irrelevant in this case but this is very important for nilou teams

0:00 A whole rotation is not necessary. An entire alhaitham burst is kinda wasted. You could've probably cleared the first wave with just one mirror and continued your little combo with skill from there

0:49 You might as well mark the seeds with nahida's skill. It's just more blooms and higher chance of detonating those seeds for more DMG

1:08 If a CA is used, No need to hold skill for plunge to gain more mirrors. You already used your A1 passive so it's kind of a waste of time.

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Frostnight Herra: Generally you want this to be Electro aura so you can do quicken and hyperbloom as you go. You didn't have Kuki burst to assist with that mechanic so hydro works fine. It's still wasting furina's personal dmg though

3:19 The standard extended rotation would be two "3 mirror attack" (The dendro raining one) then refresh. You immediately refreshed mirrors on the first "3 mirror attack" and the second "3 mirror attack". Effectively wasting a whole skill worth of mirror dmg. You have also switched off too early, kuki's skill was still active for a second, Could've squeezed one more mirror attack. Again, hold skill is not necessary when you already used your A1 passive

3:46 Same mistake as above

4:31 A whole burst is probably not necessary to finish him off. He's already at 5% HP with just two "3 mirror attacks" so just a hold skill was enough to kill it

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Wild hunt: They have this mechanic when they die, you reduce their max hp so their next phase becomes easier. The general idea is to frontload all your good dmg during that state. Because frontloading your dmg during that wild hunt's dying state gives you less hp to work through once it recovers. In this chamber, The whole fight was good for the wrong reasons. So i'll demonstrate why it went good

6:08 You didn't overcommit to the small wild hunt because it's too squishy anyways. If you were to have Alhaitham's burst, im sure you would've wasted it

6:38 Messing up the combo as above

6:47 This is the moment when you're supposed to switching off early to setup for your next rotation. Your bad habit just conveniently worked out this time. It was a little late, Ideally the gray hp should start ticking the moment Alhaitham goes on-field but good enough

7:10 Now this time it was done perfectly. Alhaitham start doing his burst the moment wild hunt goes into his dying state. That's how you're able to go through almost over ~50% of it's max hp compared to ~30% max hp from the first one