As others has said it is very common to play what is sort of a lazy C in the very common G C D progression.
When first starting out it can be very helpful to use the D note (ring finger 5th string 3rd fret) as an anchor and never lift it as you switch between G Cadd9 D and often EM7.
I would say it is completely fine to use this method on songs like this to help you get the feel of changing chords quickly. Green Day's "time of your life" is a good one for example.
Once you improve a little you'll find you can switch easily between a proper C and D no problem.
I also would advise you to work on forming your G chord fretting the low E string 3rd fret with your 3rd finger. It will be very useful to be able to play the G chord with either shape and moving to the C chord will also becomes easier.
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