Hi @YellowpellowYellowpellow, please listen to the pps advising you to include that 6 week job in your employment history in your application (& in fact any application whether it is public sector or not, but esp this one as it's the same council, so there will be records of you previously being employed with them), including a brief sentence why you left, ie health issue (condition treated and managed) or something like that.
You will be covered under the Equalities Act, so will have more protections under the law, re your employment, as you have been diagnosed with conditions that will not ever go away (or get better as such) which also means you are entitled, when filling out the Equalities Questionnaire, to tick that you are disabled, or that you consider you fall under the Category - Disabled. This should also give you a chance for any additional assistance you may need, going through the interview process.
I am not saying that these conditions ARE a disability, but by declaring them & being honest on the EQ form what the diagnoses were, what you have done to help yourself get well from the breakdown, and what you can & are doing to manage these conditions going forward will show that you are a fighter and prepared to try everything to get back into employment etc. This also allows you to request/be offered reasonable adjustments, should you need them either to start the job, or once you are employed and maybe you need some additional assistance to carry out your job, that other fellow employees do not need.
I know a lot of people feel, or will say, do not declare health issues as although we all know no-one should be discriminated on the grounds of disability, it does happen, but would you want to gain employment with a company that once/if your medical history or conditions become known, or you end up with the same struggles as before, kick you out the door "for another reason" instead of offering you support & reasonable adjustments, in order to keep someone who is probably a very good employee, employed??
I know there is still a lot of ignorance and stigma about health conditions, especially Mental Health conditions or non NT conditions, which is outrageous in the 21st Century, but hopefully this Council, your possible new employers/managers are open-minded, supportive and have good policies and procedures in place to assist & support staff that might need just a bit (or a lot) of extra assistance, to remain in the workforce.
I was in a very similar position to you several years ago, with a list of chronic health conditions/hidden disabilities as long as your arm and I could no longer do the career I had been in for nearly 18 years (I'll be honest - I was panicking, convinced no-one would ever employee me again), but I included my previous jobs in the application form, and a full history in the EQ Form, and I did end up getting another p/t permanent role that I have been in ever since. Only HR see that full form (or Employee Assist, if they want to send you for a medical to assess what you might need, again I went through that and still got the job), once they are at the stage of offering you the role. They open the form to see what, if any, conditions you may have, and what they are likely to have to consider to get you started in work.
Access to work is a government scheme that allows employers to recoup money, up to a certain amount (I can't remember the figure off the top of my head) for the costs of some equipment you may need to help you do your job easier, so it's not an automatic Nope, you're now no longer employable. It's probably better to be honest, and we shouldn't have to hide these things, or be embarrassed about it etc, because if you have been upfront, they are likely to be more pro-actively involved in sorting any reasonable adjustments (some of which can just be, they know of your conditions so cut you a bit of slack re time taken to complete tasks, or at times your mood etc might take a bit of a dip, you're overwhelmed etc, they provide a bit more support etc) and they know you are honest and declared things, whereas if you don't some people (not saying they are right) then feel you have hidden things deliberately/got the job under false pretences, or what else question you're integrity, and are resentful of the assistance you might need or are asking for.
Sorry, I try really, really hard to be succinct if I'm ever posting, but fail dreadfully every time (just one example of my convoluted thought process - for which I get reasonable adjustments/support with from my current workplace.
Happy for you to pm me, if you would like to talk more.
Good Luck with you application, I really hope you get an interview, and even the job, if you feel it's the right thing for you.