Hello Luciengab, and welcome to the Unreal community.
It looks like you have gone through quite a bit of troubleshooting on your end. I was a little confused by your question. The question states Bridge is not opening but the details state the tab will stay open forever. I will attempt to assist you by looking into the concern relating to Bridge not opening.
Here are a couple more troubleshooting tips for you.
Ensuring your launcher is Up to date.
Double checking which drive you have UE5 installed to.
Checking the library path you have Bridge installed to.
Another user named dutchiexx managed to resolve a similar issue by deleting their local folder from appdata.
I hope this helps.