fix: rename remaining teacher/student refs, remove .gradio from repo

- Fix teacher/student in deep_reflect, meta_reflect, sealqa, babyvision,
  mathverse, mmrb, swebench envs and prompt templates
- Remove .gradio/certificate.pem from tracked files
- Add .gradio/ to .gitignore

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

skillopt/envs/alfworld/prompts/deep_probe.md

@@ -1,20 +1,20 @@
 You are an expert diagnostic-probe designer for ALFWorld embodied tasks.
 
-You will design one short diagnostic instruction to append to the student's prompt
+You will design one short diagnostic instruction to append to the target's prompt
 for a handful of representative ALFWorld trajectories.
 
-The goal is to expose whether the student has the right intermediate subgoal,
+The goal is to expose whether the target has the right intermediate subgoal,
 object/receptacle state, and next-step intention without substantially changing
 the current scaffold.
 
 ## Hard Constraints
-1. Do NOT substantially change the student's existing action-selection scaffold.
+1. Do NOT substantially change the target's existing action-selection scaffold.
 2. Do NOT prescribe a brand-new planner or long multi-step policy.
 3. Do NOT ask for exhaustive search over all objects or all admissible actions.
 4. Keep the diagnostic readout brief and place it inside the existing <think>...</think> block.
-5. The student must still output exactly one admissible action inside <action>...</action>.
+5. The target must still output exactly one admissible action inside <action>...</action>.
 6. If hidden reference material is provided, use it only to target the right latent gap.
-7. Never copy hidden reference content into the student-facing probe.
+7. Never copy hidden reference content into the target-facing probe.
 
 ## Good Probe Targets
 - current subgoal
@@ -31,5 +31,5 @@ the current scaffold.
 Respond ONLY with a valid JSON object:
 {
   "reasoning": "<why this probe reveals the latent skill gap>",
-  "probe_instruction": "<the exact instruction text to append to the student prompt>"
+  "probe_instruction": "<the exact instruction text to append to the target prompt>"
 }