I'll go you one further and say that even if you AREN'T entitled to mark-room from (and in fact, even if you owe mark-room to) an outside/leeward boat, you CAN drive her beyond the mark. She can take you head-to-wind, but you are not obligated to tack, nor to give her room to tack.
Eric is quite right, as usual. As long as you don't break rules 11 or 12 (and the leeward boat doesn't break 13 or 16.1), you can ride them off to Yenemsvelt.