Playground: Add minor side-by-side tool improvements (#377) #1820

Job	Run time
find_images_to_build	4s
build_image (modules/modeling/module_modeling_llm)	2m 28s
build_image (modules/programming/module_example)	2m 7s
build_image (modules/programming/module_programming_apted)	2m 18s
build_image (modules/programming/module_programming_llm)	2m 26s
build_image (modules/programming/module_programming_themisml)	6m 47s
build_image (modules/programming/module_programming_winnowing)	2m 44s
build_image (modules/text/module_text_cofee)	2m 10s
build_image (modules/text/module_text_llm)	2m 16s
build_image (assessment_module_manager)	2m 10s
build_image (llm_core)	2m 18s
build_image (log_viewer)	1m 58s
build_image (playground)	3m 48s
	33m 34s

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