Whenever I do break the chain, I feel unmotivated to start the chain again (especially if I've done a good job, because it seems overwhelming to pick it up again from the start of the chain).
I've had to move on from Don't Break The Chain to being positive about making consistent progress.
I would say Don't Break The Chain is great for a fixed-length, short-to-medium-term task, rather than instilling permanent habits.
At the end of the timebox I do a 30sec review where I assess how I executed the task. Did I spend most of the time searching for information and organising material or did I spend it purely executing. I find with highly skilled people they spend most of they're time executing. If I spent most of it searching for stuff, I'd mark it as a delay due to organisation, if I was searching on how to do the task I would mark it is 'upskill', then I'd move onto the next thing. After a few hours patterns start to emerge around similar tasks. If a lot of related items were marked 'org' I'd then exploit them for automation or create them as templates for resuse. All the 'upskill' marked tasks would be condensed into a learning task at a more convenient task. The idea around all of this was to progressively become more organised and more skilled so that when performing a task, I would purely be executing and not faffing about.
It's a bit convoluted but it is a system that has worked terribly well since late last year and it's made me twice as productive at work, and smarter at what I do. There are times though where I wish I could be like people around me who are able to focus on thing for half an hour or more but we all have to play the hand we've been dealt and mine is a chronic lack of focus.
I usually break it up in "do X for Y minutes" and timebox it to 1 hour. Right now it's "read a book for 15 minutes, clean the house for 15 minutes and code on a side-project for 25 minutes". I also have a shorter version for busy days which is basically "read two pages, do one chore and complete a trivial task on the side-project" but as long as I do something it's fine.