How do you play chords that have no note in between them? Do you just pretend that it is a 0 or something?
Sorry. I'm a noob on guitar.
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You just don't sound the string in the middle. That is, you pick the two non-adjacent strings with two different fingers of the right hand, like thumb and middle.
There are also picks for that kind of thing even though they don't look like they'd work well with a full (typically every finger but the pinky) fingerpicking style.
I would consider this an unclear tab and look for another one, at least for verification. Typically, someone will mark in-between strings as open or with an x. Be very aware that a lot of tabs posted online are made by people that have no particular qualifications in that department, so your mileage may vary. It's hard to say exactly what they intended for you to do, since I have no idea what the song is. What you posted is used in Everlong by the Foo Fighters for example - tuned to drop D (in that case, I only play those two strings, muting in between like x5x7xx and so on). I would use your ear and compare it to the track and decide what sounds best.