Plenty of options. You can get stereo guitar cabs, or seperate speakers and run a stereo power amp and preamp.
For a live stereo effects rig, a three amp rig is the best. A central dry amp for your main tone, and left and right amps for just the wet effects.
When recording, you can simply mic one amp and then apply stereo effects later (whether plugins or external hardware). That's a cleaner, more seperated sound, but much more controllable.
But you might want to track a stereo or 3 amp rig for more leakage and commit to the effects.
Delays definately affect the way a guitarist plays, so you might want to commit to sound for that reason.
Or - you might track a dry signal, while the guitarist monitors with a delayed sound, and then reamp everything later.
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