We got open-source agents like OpenCode. OpenClaw is weird, and not really recommended by any sane person, but to my knowledge it's open source as well. We got a silly(?) "clean-room rewrite" of the Claude Agent, after that leaked...
Regarding the models, I don't think there's any strictly speaking "FLOSS" models out there with modern tool-calling etc. You'd be looking at "open-weights" models, though. Where they release the weights under some permissive license. The training dataset and all the tuning remain a trade secret with pretty much all models. So there is no real FLOSS as in the 4 freedoms.
Google dropped a set of Gemma models a few days ago and they seem pretty good. You could have a look at Qwen 3.5, or GLM, DeepSeek... There's a plethora of open-weights models out there. The newer ones pretty much all do tool-calling and can be used for agentic tasks.