That bypass hose is going to be a bit tricky to install underneath the AC compressor. The factory bypass hoses got painted with the engine because they were installed right after the intake manifold.
I don't pretend to know much about three-speed wiper motors, so I won't contribute anything about the wiring, plug or anything else. There's certainly no harm in attempting what
@b-body-bob suggested. However, the motor you posted is absolutely
not an E-body wiper motor of any stripe, particularly not a '74.
What you've got is a mid-'60s unit: Half the motor housing is part of the alloy gear housing, the motor housing is too short and has no separate end plate, and the gear housing cover is flat.
Later motors, starting in 1968 as I recall, have a separate steel motor housing for its entire length (about an inch longer than yours), a separate end plate screwed to the non-gear-housing end, and, in the case of '73-up, a plastic switch cover atop the gear-case cover.
This is a crappy, retouched photo of an undisturbed original 1974 Challenger wiper motor. The 1-piece motor housing fairly obvious, but the plastic switch cover on the gear case impossible to miss.
Someone
did try to bodge the wiring on the one in the photo to get multiple speeds via toggle switches after the original switch failed, but the motor itself does not appear to ever have been off the firewall. I loosened the lower nut to remove the braided ground strap. I have two other 1974 three-speed motors here that look essentially the same, they're just much nicer. I haven't got pictures of those, unfortunately, and I'm in no shape to go digging for 'em at the moment. So, here's a restored one:
Whether the one you have will bolt to the firewall and work--rewired or otherwise--I have no idea. I'm betting the crank arm is wrong, though. I know the crank arm (the piece bolted to the motor itself, to which the linkage connects) changed over the years based on body style, but I don't know what the differences are. What you've got is absolutely older than 1968, but I've no idea which model it fits.
The only non E-body application that interchanges 100% with the E-body is the
same-year B-body, other than 1970. '70 E-body is its own creature. A '74 B-body motor is the same as a '74 E-body, but other '74 motors (A-body or C-barge) are not the same due to the crank-arm differences. Whether a '73 motor would work on your car, I can't say--my apologies, but I've done enough digging regarding wiring already.