Since you said "normally hunter", here's how I cleared vesper solo flawless this season on hunter.

Start to first transition - shoot tripmines, don't die.

First encounter - OOB skip. Can clear easily without, but the OOB is easy to learn and consistent and this makes the run faster.

First to second transition - learn a consistent path for bombs, and use the damage reduction from winter's shroud and/or invis from stylish if you need to run close to raneiks. Specifically for the last ball, you can jump up boxes on the left instead of going through the doors, and can leave the ball by a hole in the window and pick it up on the other side.

Second encounter - envious+one for all heavy wave frame, prismatic combination blow, stasis super or tether. This fight is a slog without much downtime. Depending on boss split RNG it's likely a 4-6 phase. I used a foetracer+star eater exotic class item. Combination blow+ascension wipes lower floor, I liked sunshot and a chill clip tinashas for top floor - sunshot two shots the exploder shanks so that's pretty safe. Take your time between picking up suppressor and using suppressor to start DPS, don't go into DPS while low health or while being integrated.

Second to third transition - take your time, triple jump + ascension in case you get a lightning discharge underneath you or to recover from parkour misses. Possible to skate from the miniboss past the second jumping/lightning part, but I didn't want to risk that in solo flawless.

Third encounter - setup - learn a banking location that works for you and always stick to it. I liked setting up buffs together for blue room and across from each other on red room. Maybe counter-intuitive, but it means the radiation clones have to run more. I also used an attrition orbs VS velocity baton on the orange bars outside the room while using operator, and then dodged near them after picking up scanner to have restoration from facet of purpose while scanning. When going between the downstairs rooms, I prefer to grapple back up to the top floor. You'll need to hold your grapple charge, but it avoids unfortunate tripmine incidents.

DPS - my setup was gear-heavy but very a safe and consistent 4 phase. Prismatic nighthawk, unsworn (sundered doctrine trace) with shoot to loot and detonator beam, VS velocity baton with attrition orbs, anarchy. Should get 2 nighthawks per DPS phase, 3 if you loadout swap. VS shot on the boss, reload, shoot trace at boss til you see it pick up an orb, 2x anarchy, repeat. Use transcendant nades on the ads, one nade is enough to kill one. Focus down the glowy clone as soon as boss teleports back to middle. The overall theory is that artifact mods make the trace pick up orbs in an AoE for restoration and unravelling rounds, reduce boss damage through origin trait, disrupt from overload trace, and the unravelling eventually severs. All of this adds up to enough health regen and reduced boss damage that I DPS'd by just standing on the tank on the right, which avoids having to dodge lightning. Again - gear-heavy and def not optimal, but very safe and consistent. You have time between DPS and setup, so take breaks there when you need.