Facilitates a step-by-step thinking process for problem-solving with self-reflection.

Args:
    thought: The current thinking step
    nextThoughtNeeded: Whether another thought step is needed
    thoughtNumber: Current thought number
    totalThoughts: Estimated total thoughts needed
    sessionId: Unique identifier for the thinking session
    isRevision: Whether this revises a previous thought
    revisesThought: Which thought number is being revised
    branchFromThought: Thought number to branch from
    branchId: Identifier for the branch
    needsMoreThoughts: If more thoughts are needed beyond totalThoughts
    reflectionNeeded: Whether to perform self-reflection on the thought
    reflectionStrategy: Type of reflection (e.g., error_analysis)
    performanceFeedback: Feedback on thought effectiveness (e.g., correct/incorrect)

Returns:
    A summary of the current thinking state or an error message