When connecting one input to one and or nand gate output doesn't stay but it acts as clock. Playing on latest linux version from this site.

Can you post a screenshot of your circuit setup, and any sub-components you're using?

You should be able to use this

You can check how to make a few basic gates in the (unofficial) DLS docs at https://henriheyer.de/dls/ (you may have to reload the page once)