Report changes to education?

I am seeking clarity on whether completion of a course needs to be reported to the DWP in relation to my ESA claim.

ESA status: I have submitted the WCA50 questionnaire, am receiving the assessment rate but am awaiting confirmation of next steps for new style (national insurance contribution based) ESA.

Education status: I just received confirmation that I passed a government funded, part time, home-based, self paced TDUK-Level 2 Certificate course. It was slated as requiring 5-10 hours of work per week over 6-12 weeks. Due to physical and mental symptoms, I really struggled to complete it. It required my full daily effort, many extensions and accommodations (which was really disappointing as I had hoped it would give me some confidence in my ability but it just confirmed how challenging I'm finding things).

I want to avoid contacting the DWP unless absolutely necessary. I fear they may see completion of a course as proof of capacity to work when no employer could reasonably be asked to support my current level of output.

Differing advice re reporting changes to starting or stopping education:
Advice from gov.uk makes no distinction between income based and new style ESA when it comes to reporting changes (www.gov.uk/employment-support-allowance/change-of-circumstances)

but Citizen's Advice suggests changes to education must only be reported for income-related ESA (www.citizensadvice.org.uk/benefits/sick-...a-reporting-changes/).

Please can anyone definitively advise on whether Citizen's Advice is correct here and I do not have to report the course as a change in circumstances?

Thanks so much in advance for your time.