Memory endless growth Mac M1

What year is your MacBook Pro?

When it gets near to shutting down are the fans ramped up?

How much free space is on your drive?

Is that an SSD, Fusion or mechanical drive?

Are the jpegs being saved to the  internal drive or external drive?

Your using File>Scripts>Image Processor for the conversion?

Will try, thank you.

Looking around the forum i am not the only one with this problem.

https://community.adobe.com/t5/lightroom-ecosystem-cloud-based-bugs/p-desktop-memory-leak-on-m1-machines/idi-p/12419270

I tried to use lightroom a month ago and it was doing exactly the same, memory out of control after few hours working.

This also shouldn't be the case and points to some other issue on your Mac. 

Try logging into another user account (you may need to make one); still a problem? 
Try starting up in Safe mode (hold down Shift Key when booting), still a problem? 

since it converts them one a the time, the pic is 50mb, 3-4 of them are around 200mb, i wonder where all the rest of thosse 50gb are used.

I tried to use lightroom a month ago and it was doing exactly the same, memory out of control after few hours working.

Converting pic's is working on them.

Photoshop has to have 3-5X each open document in memory. Or scratch disk. 

A product that is far more efficient in batch processing (ARW Sony raw to JPEG): Lightroom Classic. 

Forgot to say, using photoshop, memory pressure gets in the red in about 1,5 hours,. 8 sips instances stayed in the reen the whole time.

It sounds like it is my fault. 

I am not working on pics, just convertig them, really do not understand why it should use 50gb of memory. In the script i unchecked the flag "open pic" so it sholdn't even open it, just convert.

Today i really got annoyed by the continuous crashes. Uninstalled photoshop and did what i had to do with sips from command line. Guess what i opened 8 terminals all converting different directories, i was able to convert 15000 50Mb ARW pics in one afternoon, no crashes, no memory leaks, it just worked like photoshop should if it wasn't broken.

All I can see from your posted pictures is that Photoshop uses 12 GB in one and 48 GB in the other. All well within normal.

But earlier you said,

"GPU disabled, if i enable it memory grows faster and faster".

Maybe that's what the real issue is here. That would point to a bug in the GPU driver code (in this case MacOS code). What "unified memory" means is simply that the GPU uses system memory. That can often translate to half of the available memory under normal circumstances, and with only 16 GB installed, that's not a lot to go around. If Photoshop has already claimed more than the GPU needs, you could get crashing - not in Photoshop, but the GPU.

I'd monitor memory usage closely - don't look at the numbers, look at the graphs. That might give a clue.

Yes, you can see it in the pics i posted. It does it with Ventura and it did it maybe even worse with Monterey.

So Activity Monitor (which shows all processes and memory use) shows it is Photoshop eating all the memory? 
I ask because I saw a similar issue with memory; Activity Monitor ended up showing it was iCloud and syncing contacts eating up all the memory. Never saw this prior to Ventura.