You must be talking about the loop ...
For the verification check out with the bot you're using if they set up a solution to it, if their solution doesn't work find a better bot.
If it's not a loop just do it one by one (you can verify if it's a loop or not by login to an account, verifying it, then try to relogin and see if you get the mail verification again, if you get it then you can assume most of your accounts are stuck in the LOOP)
IF (that's a big IF) it's not a loop, you can thank the instagram gods.
Else try the solution for the loop (which is in this forum somewhere in the first or second page) and see if it works for you (the goal is to bring the "That was me" to get rid of the loop), if it still doesn't work, hope that's it's just a bug from IG and that it will go away on it's own and let your accounts rest for 2 days minimum then get back on the grind.
if it still doesn't work you need to find good quality proxies (most preferably residential to get out of the loop), they are costly but that's the only way.
If it still doesn't work, pray again to the IG gods that it's just a bug that they will get rid of in a few days and let your accounts rest for a minimum of 2 days.
if it still doesn't work : learn to program and make a bot that automatically sends the email and verify the account then sends the ... ehhh I've said enough for today.
Good luck, any question send me a PM.