Let me start with what I liked:
-Production values & costuming are still great, best of any Trek series. I liked the century old Starfleet uniforms-wish the combadge design had been different though.
-Seeing the holographic versions of the DISCO Away team. Though I wouldn't have minded if they had made Burnham into a familiar Trek alien we had yet to see in the future, instead of a Trill. I imagine Doug Jones was glad to not have to have to spend less time putting on makeup.
-I like how Michael pretended to be a hologram, that was a neat bit of quick thinking on her part.
-The last five minutes or so were quite involving, and the action and suspense were very welcome.
Now what I didn't care for:
I feel that DISCO Season 3 has lost momentum. Perhaps the first two seasons often were in overdrive, at the expense of character development and story, but Season 3 so far has went almost completely in the opposite direction, I say almost because the character development-on an ensemble level-still leaves much to be desired when it comes to Bryce, Pollard, Rhys, Nilsson, Owosekun, and to a lesser extent Detmer who did get a PTSD storyline. I feel like they pushed the mystery of The Burn and the Emerald Chain too far into the background.
For good or ill, DISCO has adhered to the standard contemporary arc storytelling, with some big, overarching mystery or problem to solve, along with some big bad to face, and they've had both, but neither at the forefront. To some extent, they subverted this in Season 1 as well with the fake out over T'Kuvma in the pilot, then killing off Kol mid-season, shifting to Lorca, and then sort of Mirror Georgiou for at the end, whereas Season 2 conformed more to the format, with the Red Angel mystery leading into the big fight with Section 31.
Now, in Season 3, they have a mystery, of "The Burn" that's in the background, that supposedly drives the crew, especially Burnham, to solve, but it wasn't matched enough IMO by the action (or actions of characters on screen), and while there's been quite a few mentions of the Emerald Chain throughout the season, not enough has been done with them to establish them as the big bad, if they are even the real big bad (and that is yet to be seen).
To be fair, Trek hasn't always had their major bad guys always in the forefront, but IMO, from TNG on, they've featured them enough for the audience to understand how dangerous they are, especially the Borg on TNG and the Dominion on DS9. We've even gotten that with the Cardassians, on both TNG and DS9. The Borg were overused on VOY, but the introduction of Species 8472 quickly established how dangerous those aliens were, and that stuck, despite how that storyline might have been resolved. I think the Emerald Chain has been too much in the background and I wish we had gotten an episode or two about them, and learned a little more about their inner workings.
If this episode has solved the origin of "The Burn" as Burnham surmises, then it will be underwhelming. For some, the subversion might be welcome, but I would feel underwhelmed that so much dialogue and screen time was spent on solving this mystery to know that it was caused this way. I'm holding out hope there's something more to this than a lonely child's tantrums, lashing out, or fears. I can get wanting to be different than the other seasons, with the fate of the Federation at stake in the first season and then all organic life in the second, but now it feels like the writers have lowered the stakes too much. I don't think every season has to be about or lead up to some galaxy changing moment, but in absence of that, give me more character development and world building. If the child is really the cause of The Burn, they could've solved that mystery several episodes ago and spent more time exploring this future (getting back to some good ol' Trek exploration) while also fleshing out the Emerald Chain. And along the way giving old fans more tidbits about what happened to other species from the 22nd-24th centuries.
Tilly in command was okay. I've liked the character more since her promotion. I'm iffy on her almost casual back-and-forth with the Emerald Chain leader, but it does set Tilly apart from other captains.