Real-Time Android Phone screen, visible on PC

In order to view on PC your phone's "Real Time Android Screen", the software will ask you for:

... root permission required.

I would like to attempt to do the above, but I have one concern: ...If I
give it permission to "root", will this cause my entire phone software
to become "rooted" ??

So, Obviously, since my phone works extremely well as is now, and also
is Un-Rooted, definitely I don't want to force Root onto it.

Do you have any thoughts to share on the above ?

no, it is saying you need to be rooted to use this feature. if you're not, you can't. Airdroid won't root your phone.
Also, you should not be scared of rooting.

I don't like apps that require rooting.
Do you know that most providers NULL your warantee when you root?

They consider us like idiots and think that if we root, we can crash the system, so therefore they NULL the warantee.

Any other solution?