Actually... more than 13 turns longer, but unless I have made a mistake, T9D can win this game by drawing it out.
It gets increasingly complicated as you start figuring out the best choices for each player, but there are more optimal options than just playing for the tie. The 9th Doctor has the upper hand here because he is 1st player.
Consider the start of The 9th Doctor's 15th turn.
At this point, the score is tied 32-32 and there are 2 Provinces remaining. The Doctor can Trash a Festival and Buy a Gold instead of Trashing the Province and Buying a Province. The score would then be 35-32 in favor of the Doctor. Now this prevents Ed from being able to buy the second to last province without losing, so he has to Trash a Gold and buy a Gold. This makes the score 35-36. Now each player can continue running the Golds as it is their best option for scoring points.
At the end of the game, Ed had 1 Gold, The 9th Doctor had 2, and there was one in the Trash, after the two purchased as described above, there are 24 Golds remaining in the pile. Each player can purchase and Trash 12 of them for 48 more VP. At the end of the 27th turn, the score would be 83-84 in Favor of Ed.
Now Neither player can sacrifice their position to be able to buy a Province or the other player can just take the last two to win. On turn 28, both players can now Bishop a Gold and buy a Festival (87-88). Now, with 6 Festivals remaining, and 9 (one in the Trash) Merchant Ships remaining, with 2 Festivals, The 9th Doctor can Trash a Festival and buy a Merchant Ship, but Ed must Trash a Festival and buy a Festival to maintain the ability to purchase a Province.
After 6 more turns gaining 3VP each, the Festivals will run out. (End of turn 34, 105-106) On turn 35, T9D can again, Trash a MS and purchase a MS. Ed's only option now is to trash his Silver and purchase either a Silver, a MS, or a Navigator to avoid losing his ability to buy a Province. Trashing the Silver causes Ed to lose his current one VP advantage. Buying the Second to last MS would give T9D the game, and the Silver would continue to lose him points, so he needs to grab the Navigator. The score is now 108-108, and there are 2 Merchant Ships, and 9 Navigators remaining entering turn 36. Now T9D doesn't want to buy the 2nd to last MS because this would give Ed the tie, so he moves to Navigators too. 3 more turns of buying Navigators gets us to a score of 117-117 at the start of turn 39 with 3 Navigators remaining. T9D can again buy a Navigator, but Ed cannot as it will again let T9D end the game on Piles. Ed's only Choice is to purchase another Silver.
At the end of the 39th turn, it is 120-120, and the Decks are now:
T9D:Bishop/Festival/Navigator/Gold/Province
Ed:Bishop/Festival/Silver/Gold/Province
On Turn 40, T9D will Bishop the Navigator and Purchase a Silver. The score is now 123-120. Ed can Bishop his Festival and purchase a Silver to keep up for one more turn. (123-123) T9D can follow Suit on Turn 41 to take the lead 126-123. (This cuts both players off from the option of purchasing Navigators and Merchant Ships. I don't think this has an effect, but am not sure if I am missing an option.) Ed is now trapped. Down by 3 points, his only option remaining that leaves him enough cash to purchase a Province, is to Bishop a Silver and buy a Silver. This leaves him down 126-125 at the end of the of the 41st turn, allowing T9D to Purchase the penultimate Province, and finish out the game with a win.
Please correct me if I figured anything incorrectly here. It would seem the odd number of cards in the Merchant Ship pile is actually extremely important in allowing T9D to hold onto his upper hand. If not for that, because of his lower value Festivals, he may have needed to play for the tie.
I am also not 100% sure there isn't the possibility for some Embargo shenanigans with the extra Festival buys, but I don't think it is optimal for T9D, and I don't think Ed could do it without giving T9D an opening to grab the penultimate Province.