Timing of the mock cycle:
It is up to you when you do it, for a FET they normally recommend a cycle off and then doing it the next cycle, so you could replicate that if you wanted. But it probably wouldn't make much difference.
Your recent result:
What do they mean high levels of inflammation? Did they find dysbiotic bacteria if so what?
You haven't said what you're doing about the recent result, was this a vaginal swab? Have they recommended treatment? If so maybe use this cycle to do that. Given your partner has gardnerella (I'm assuming they are a man, I suspect this is pretty rare in a male). Are they being treated?
Based on your partner having gardnerella and therefore you likely having it too and in the absence of knowing what strains of dysbiotic bacteria you have, I personally would go through treatment if I were in your position before doing an EMMA ALICE. I have outlined a treatment plan for gardnerella in the past which is what got me from 2 x 0.00% lactobacillus to optimal numbers.
I would (if not allergic):
Order from online pharmacies, or get a gp to prescribe:
Metronidazole 400mg orally three times a day for 2 weeks
Vaginal clindamycin once a day for 2 weeks
Take the antibiotics at the same time as one another. Alternate daily between a vaginal probiotic and clotrimazole 100mg pessary while on the antibiotics.
Take an oral probiotic daily (take this forever more- femdophilus, optibac for women and femme v are good ones)
After this course of treatment for 10 days: use balance active once a day with a vaginal probiotic (I have posted about the best ones to use before, happy to post again if you can't find it).
Not heard of the TEG test, Prof Brosens told me he doesn't recommend aspirin for FETS only heparin, aspirin can interfere with implantation. The dose of heparin should be standard, so I don't see a reason to do a specialist test, but I'm not a specialist in this field.
You say repeat immune tests, what immune tests have you had?
Don't worry between us here I think we've had every test going, so we can help to advise.