gh-99: BNT likelihood example

[pltaylor16]

📌 Related Issue

Closes #99

✨ What’s been added or changed?

@cloe-org/cloe-maintainers

• Added some code at the end of the photometric likelihood tutorial to show how to use the BNT likelihoods.

🧪 How was it tested?

• tests are already included in the cloelike code on the bnt branch, but I also explicitly checked the likelihood remains unchanged compared to the non-BNT case when the transformation is applied.

📸 Screenshots (if applicable)

🧠 Anything to keep in mind?

• This code will only run when using the bnt branch on both cloelike and cloelib. These are not yet merged, but I have submitted pull requests for both.
• We may want to have BNT included in correlation functions, cosebis and cmb X WL as these become available.

@all-contributors please add @pltaylor16 for code

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[gcanasherrera]

@pltaylor16 there are conflicts in this notebook after the latest v0.10 release. Could you please solve them?

[pltaylor16]

I will. This will have to be early next week. I am traveling until Saturday.