Hmmm... seems I'm to fight Daleks armed with only a tube of lip balm. Worse, how do you repair the Tardis with a mutated Bassett Hound/Corgi mix? Smart she is, but definitely not a K-9 unit!
The first step to traveling with the Doctor is to be innovative. The twist is... switch the stuff around! Repair the Tardis with the lip balm and use the dog to fight the Daleks.
First you find the Hivemind Chamber that the mine uses to coordinate all its workers, and reset the controls to affect only Dalek brainwave patterns. Then you put the mutant Corgi-Hound thing in the broadcast pod just long enough to overwrite the replacement neural pattern that it's emitting. When the signal goes out again all the Daleks will wander around acting like dogs, giving you a chance to slip safely past them and return to the Tardis. It also breaks the workers free from the Daleks' enslavement, allowing them to rebel and retake their factory. Hilarious
and effective!
Meanwhile the Tardis must have gotten damaged in that rough landing, causing the Internal Whatsit to twist out of place and rupture a critical seal. Fortunately the lip balm is exactly the right consistency to re-seal the coupling. Especially fortunate really, since the Doctor's been meaning to pop round the store and pick up another tin of sealant but really, who has the time? It won't last long, but we only need a couple minutes. Squeeze it all out and smear it over the coupling, then push the big red button and let's hope cherry's our lucky flavor.
Right then! What's everybody standing around for? We've got a planet to save!