My assessment of the 2023 specials
Star Beast
First thought: My GOD, it's great to see Tennant again as the Doctor! He remained my favorite Dr., and lost zero of his charm in between the years, and he was brilliant throughout. Same for Donna, she is just the same, and although she wasn't my favorite companion, it was nice to have her around again.
The plot though is pretty paper-thin in this one. There is only one twist, and... it can be guessed immediately (my wife and I looked at each other as soon as the Meep showed up, and in unison we said: "He is the bad guy!"). So no surprises in the "what" section of the plot, so on to the "how" - and that's nothing special either. It was just a straightforward episode with some nonsense, so it hit the mediocre level - which was still a breath of fresh air after the awful Chibnall era. I expected something better from RTD if ot for anything else, than on account of this being the great returning episode for Tennant's doctor - he deserved way more!
The solution was too simple - again, not a surprise when it comes to RTD episodes, but still - but the interplay between D and D was great, the actors really carried the episode. All in all - meh, but a pleasant experience to watch - thanks to Tennant's return!
Wild Blue Yonder
Now this is a proper mystery episode! I mean the setting is a spaceship, where something dangerous is happening. Great start, but it got a bit duller as it went on. It was better than the previous episode, with the proper amount of silliness, but again, the whole scenario and the solution was too simple.
The void creatures had much more potential both in the threat department and in silliness - neither was properly presented. This ep should have been chock full of absurd, wacky ideas, but it was ultimately not creative enough. Anyways, Tennant was again a joy to watch, and it was still miles better than any Chibnall ep.
The Giggle
I went into this one a bit uncomfortable, because in the end I expected Tennant to be gone again, and I had a pleasant surprise. I'm not versed enough in the lore to determine if bi-generation was mentioned in any eps of the old series, but in NuWho, it was not (unless I missed it...), so it came across as something that was invented for just this occassion. And if this is the case, a series can get away with something like that every 60 years, so ultimately I did not mind.
The leadup to this was kind of weak though. The plot was just one idea, stretched to a full ep, with unclear rules. They say a satellite allows non-stop internet access everywhere, but the people who went rioting in the streets were not looking at screens... and if they were, surely they were looking at screens way before the satellite was launched, and the giggle is embedded in all the screens, so they should have gone crazy way before 2023... Unless I missed something, this whole ordeal did not really make any sense - as to why it is happening en masse now.
The Toymaker's rules were also not entirely clear, most apparently in the ball catching game at the end... that was even filmed in a very distracting, confusing fashion. We never established why was the last throw so special, so the victory did not feel earned at all. It would have been better if the doctors somehow took advantage of the fact that they are in a 2v1, but this was a missed opportunity.
Anyways, this was the best sendoff for Tennant's Doctor, it is somehow very comforting to know that he is there with his own TARDIS, surrounded by friends (practically family at this point), and he is even doing some trips to here and there. As much as I love seeing Tennant again and again, it would be a tiny bit cheap if they pulled him as a last minute rescuer in any of the following eps. Technically he could be a plot device, since he has a TARDIS, but the writers should allow the new Doctor to stand on his own two feet, so... I would be content never to see Tennant again - although maybe in the future they could build a plot around someone or something that pulls both TARDIS(-es?) to the same place where they should together deal with a threat? But as I said I'm fine either way - and Tennant's sendoff seemed like this is really the end for him.
All in all - the episodes were kind of weak overall, the middle one was the best, but that one had much more potential. The ending made up for most of the shortcomings of the eps, but overall any of these eps was better than the whole Chibnall era eps combined... Looking forward to the next Doctor, but the Ruby Road episode was kind of run-of-the-mill for the series. Still, I'm glad RTD is back, I hope he has new ideas up his sleeve. No matter how good the actor for the next Doctor is, the writing must improve. It was not the fault of poor Jodie that the first female Doctor's run was so abysmal...