The Superheavy has pushed a 75 tonne load into LEO; maybe some krauts have pushed 70 t. This load is headed for Venus. v_inf, for that, is 2.5 km/s. Leviathan expect to pay Elon Musk MONEY to send it all in a 160 tonne Starship; and MO' MONEY, for the fuel top-up in LEO. Presently the paper hasn't stated how much fuel they need but Google has told me, 400 t (megagrams). In this poast, I compete for that blank cheque. We are all about branching paths here.
An interplanetary Hohmann operates by regular launch windows, Earth/Venus on that pentagram synod of 583.92 days. In this case we're not sending any time-sensitive cargo (like monkeys): Leviathan is supposed to work for a year, so what's a coupla'more months. This means I don't have to blast immediately after getting to LEO and topping up. I can afford to wait; to adjust my cargo's trajectory from LEO to something better nudged into.
We start by renting the Tamil Tether. This yanks my cargo into HEO, here standing for high eccentric orbit. Apogee 200-300 megameters well over GEO. Weee!
That is delta-v 2.83 km/s; if I'm shifting only 75t, momentum 2.1e8 kgm/s. This can be spread over a minute or two so most tether materials would work. The 2.3 terajoules of total energy will, however, lower the tether's altitude. Raja's tax must be paid.
From this apogee, I'm in range of a possible second tether which promises up to 100 t - although here the tether material must be ... stiff. In this case I must spend the remnant 25 t budget on a dedicated Venus-entry vessel because I'll not fit a full Starship on that poor thing. Copilot didn't even suggest the idea.
Instead Copilot adds solar-electric tugs operating for several weeks in that 200-300 Mm domain. I could even have a near-empty spare 160 t Starship hanging around up there (which is why we discussed only the 75 t above). We don't need to park them on the spaceline although that will be nice too.
Above all (heh) the tugs can push my 235 tonnes into a Molniya trajectory, that almost hits Earth. It is at perigee, the velocity is highest, yay Kepler, at 10.8-11 km/s. At the right moment, we do the Crazy Hermann off to Hohmann. This delta-V is 248 m/s. For this push, propellant mass runs just 16.1 metric tons. With 16.5 MN thrust allowed by six Raptors, it is burned in 3.65 s.
Leviathan conceded a multiple-launch mission, the moment they mooted refueling. My mission architecture reduces the launches to two. One sends the load, which competitors can bid for; tethers hurl this into HEO. The other sends a whole Starship (under)laden, which... tethers hurl into HEO. The 16.1 t (plus) of fuel is probably in the latter, for simplicity. The load and the 'ship, they dock (because Leviathan assumes docking is possible) in HEO. At some point, I send my mission via Oberth with much less fuel than that for which SpaceX will charge them. I do assume infrastructure, but that infrastructure is available for future missions. Like for that Sunbird > Saturn mission.
I might add that Elon could use something like this architecture to get his 'ships back. Could be he's loaded enough propellant for a cycler-trajectory, to drop off the cargo and keep goin', so Earth gets it back... whenever. 3-0-2-9 promises 4.8 sidereal years; Hop David's scheme awaits the whole eight year metonic. Maybe Elon doesn't want to let his 'ship rot in the Solar well for years so sends over propellant, to load onto the 'ship, which waits in high Venus ellipse-orbit for the next direct Hohmann.
Either way there's likely to be additional burn, for 3-0-2-9 probably on its next return at Venus, to adjust the angle as to intersect Earth. I say likely because over eight years, cap'n Hop David might be able to trim thar sails.