Step 5: Snip the Tip
I used a jeweler's saw to cut off the tip at the first black plastic insulating ring.
Jeweler's saws might not be all that common but there are other options. A hacksaw might work, a dremel cutoff disc, etc. You might even be able to use the side cutters again but I didn't want to risk bending the part I needed so I decided sawing was preferable to snipping.
I filed down the cut area to remove and burrs and smooth it out overall. I made sure to wipe it down really well so that no filings would end up in my phone.