Can I return to Thailand on a 30-day visa exemption after going to Bali?

Hello everyone! I'm thankful I found this group, thank you in advance to anyone who is able to help me :)

This question has probably been asked a million times, but I'm having such a hard time finding information about it out there and don't want to proceed with booking flights without being sure.

I am from the US, so was given a 30-day visa exemption upon arrival. We plan to do the 30-day extension soon, then at the end of the 60 days go to Bali for a month and then come back to Thailand via air for another 30-day exemption and 30-day extension.

I've read places that we should be okay to come back into the country, as we only have one stamp from Thailand and will only be entering a total of these 2 times this year. I saw in the files section the "2 times entering" file, but it's in Thai and google translate doesn't do the best with Thai so as I said, would like to be sure. :)

Any advice / help / answers welcome. Thanks again so much :)