I contributed $5,310.00 to Roth IRA for 2022. However, our AGI exceeded $214,000 so that contribution is all in excess. I assume that those contributions lost about ~10% for 2022 (looking at VTSAX 1-year performance). My understanding is that I will need to recharacterize/remove the contribution to a T-IRA (traditional IRA) and then convert back to R-IRA (roth IRA), and that given it is 2023 I will need to account for this with taxes this year and next.
Given this, I have a few questions and am hoping for some guidance from the community

1) Is it best to recharacterize the contribution or remove the contribution? Why?
2) Are the tax forms the same for both processes? Most information I've found on the forums is for recharacterization (IRS Form 8606 etc). Removing seems more complicated but perhaps the right approach given the ~10% loss?
3) Moving forward, do people do monthly backdoor contributions? Seems like a lot of work - what is the simplest approach?
Thanks for your help and time.
Other considerations:
* I've already filed taxes for 2022 with Turbo Tax (so I assume I will need to amend)

* No existing Tradtional IRA or similar
* Funds in Vanguard