Hopefully this isnt a dumb question but I just started to learn tapping and Im having a small issue

Im working on the Welcome Home solo by Coheed and theres this little lick at the end.

I have pretty small hands and cant reach the 13p8 (only been playing about 8 months so maybe itll come with time) but for right now I figured Id just reach over and tap the 13 since itd be a good easy lick to start tapping and I could actually play the solo. However since I rest my palm on the lower strings to mute them when Im picking, when I lift or slide my hand over to tap the note I get a bunch of unwanted noise. Is this a technique issue or am I just being sloppy?
Just do the whole lick with 2 hand tapping. Problem solved.
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