Can I extend my visa exemption by traveling to Malaysia for 24 hours?

If this visit is a ‘stand alone’ visit, ie you haven’t been doing back to back visa exempt, in and outs, you should be ok flying in and out to somewhere like KL same day or one nighting in KL but I’d have a flight back to my home country within the 60 days you’ll be expecting in my back pocket in case you’re questioned by immigration when you come back.

If you have been in and out back to back a couple of times, or a few times, definitely use a visa service for a land border bounce.

Keep in mind the 60 day-exemption is a tourist exemption.

You want to live in Thailand, maybe consider an other option; immigration officer think like this.

Just do a border run. You will received 2 months stamp aswell :)

The real question is; Did you already get the one 30 day extension you can get at the immigration office for 1900baht on this current visa exempt entry stamp?

If you didn't and your objective is to stay IN thailand, take the 30 day extension before you decide to bounce out and back

AND

just a word of advice use a service and bounce out and back by LAND rather than fly out and back (especially just being out a day or two)

You sure ain't fooling the officers at passport control at the airport when you fly back in. They'll know you did it just to get a new free 60 day entry stamp