Add functions API docs to preview and linter checks

[frankharkins]

Closes #4882

[frankharkins]

@kaelynj @abbycross I need to know the qiskit bot owners for these files please. Feel free to push to this branch and merge when it passes CI.

docs/api/functions/_toc
docs/api/functions/algorithmiq-tem
docs/api/functions/colibritd-pde
docs/api/functions/global-data-quantum-optimizer
docs/api/functions/ibm-circuit-function
docs/api/functions/index
docs/api/functions/kipu-optimization
docs/api/functions/multiverse-computing-singularity
docs/api/functions/q-ctrl-optimization-solver
docs/api/functions/q-ctrl-performance-management
docs/api/functions/qedma-qesem
docs/api/functions/qunova-chemistry

[abbycross]

@kaelynj @abbycross I need to know the qiskit bot owners for these files please. Feel free to push to this branch and merge when it passes CI.

docs/api/functions/_toc
docs/api/functions/algorithmiq-tem
docs/api/functions/colibritd-pde
docs/api/functions/global-data-quantum-optimizer
docs/api/functions/ibm-circuit-function
docs/api/functions/index
docs/api/functions/kipu-optimization
docs/api/functions/multiverse-computing-singularity
docs/api/functions/q-ctrl-optimization-solver
docs/api/functions/q-ctrl-performance-management
docs/api/functions/qedma-qesem
docs/api/functions/qunova-chemistry

Added these to qiskit_bot - look ok @frankharkins ?

[Eric-Arellano]

@abbycross I think the Functions team & Functions partners normally want notifications, right? Would copying the guides/ entries be helpful? Also, let's please fix it in a follow up so that we can merge this now

Update: #4900