how to claim taxes back from IRS on ira conversion ?

So i made mistake, but wondering if there is way to claim refund

 

Here is the sequence

 

1. I opened IRA account for 2022 and funded 6000

2. as per my 2022 taxes, i am not allowed to claim deduction for this contribution 

3. The day i converted my account from IRA to Roth IRA value was 6100. Bank deducted taxes and sent to IRS

 

my understanding 

1. my 6000 were post taxes since i couldn't deduct IRA contribution 

2. 100 was gain which should have been only taxed

 

question

1. how to claim refund for taxes on 6000?