I mean, instead of running your own Matrix server?
Is there a dependency on the instance, will it be blocked otherwise? I have activated the bridge to Telegram and Discord for my channels in the channel itself.
most bridges are appservices, which must be hardcoded in Synapse(/Dendrite/Conduit/…) config
Otherwise depend on what is called a “non-puppeting bridge”, self-hosted bot that reposts messages on behalf of itself. Problem is, reactions and other multi-agent interactions won’t be a subject for bridging. If you absolutely need those, you have to host a Matrix server (like optimized, but unstable, Conduit or the hungry Synapse) or partner up with another server owner to activate your appservice…