ci: Enable Node's strict engine check on CI

[d3xter666]

No description provided.

[maxreichmann]

--engine-strict still doesn't work here (as described in #99 (comment)). We would have to bump the package's node version first.

[matz3]

I would propose looking into tools like check-engine-light which does not check devDependencies by default. Of course, we need to be able to run our tests with the minimum Node version, but in this case, it looks to me that the relevant dev dependency (MCP inspector) is only used for manual testing, right?
I would disagree with bumping the Node requirements for our consumers, just because we use a dependency for manual testing which only runs on higher versions.

But those are just my 2 cents.