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Còuld the Space Shuttle orbiter have used the Energia HLLV (used by Buran)?

I would like to know if the Space Shuttle orbiters would have been capable of utilizing the Energia Heavy Lift Launch Vehicle (HLLV) used by the Buran instead of the External tank/SRB configuration. And if so, could it have been modified to use a parachute recovery system or to utilize the DCX/Clipper Graham tested vertical rocket landing method now, being used by Space X with their Falcon 9 booster?

This architecture would have at least prevented orbiter loss from insulation breaking off and damaging the tiles. Of course this would have required a steep learning curve for NASA, as well as flight testing the new system, however it would have at least preserved the orbiters as a viable delivery and space operations and maintenance platform for several more decades, until a truly reusable SSTO/TSTO system could be developed.