Sounds like one guitar is playing that 1/16th note funky part with the wah. Then another clean guitar enters playing upbeat staccato chord stabs. When the vocals enter the clean guitar hits long held chords with a little drive & sustain. In the post-chorus section the wah guitar changes to slow sweeping instead of wah-ka-wah-ka.
So you can probably do it with 2 guitars. The wah guitar & the other guitar switching between clean staccato chord stabs & engaging a slight overdrive (or turn up the volume) then back down for the clean sections.
There is quite a bit of swirly, sweeping sound from a synth or two. And of course the string section. So you might want to use a chorus or phaser on the clean guitar to mimic those timbres for those sections.
Anders covers using a wah pedal in this tutorial.
https://www.guitartricks.com/tutorial/1620
This tutorial covers performing with pedals.
https://www.guitartricks.com/tutorial/2609/
And this one covers using the volume knob to get different timbres.
https://www.guitartricks.com/tutorial/2290/
Great tune! Have fun with it!
edited