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Hum -

Welcome.

Quick answers:

Yes
Nothing to worry about.

Long answer -

The gauge is fed by a tube that comes from the engine cooling system. This hose can get clogged with salt/grit etc.

To fix, pull the hose off the gauge and run the engine. There should be a flow. If there is a flow and the gauge is not working, the problem is the gauge.

If the hose is clogged, you need to get the salt/grime out.