From a Jain viewpoint:

• Sweet lime (mosambi) juice counts as phal-aahar (fruit-based food) and is generally acceptable for householders, especially during daylight hours. Avoid after sunset if you observe chauvihār/biyāsan.
• During fasts, practices vary: some take only boiled water; others allow strained fruit juice during partial fasts. Follow your family/tradition’s niyam.
• Monastics have far stricter rules; processed juices are typically not taken.

Ahimsā-friendly way to prepare:

• Use fresh, seasonal fruit; wash and inspect to avoid harming tiny beings.
• Cut gently; try not to crush seeds.
• Strain the juice through a clean, fine cloth; use only filtered/boiled-and-cooled water if diluting.
• Do not add honey or unfiltered ingredients; avoid ice of uncertain water.
• Consume the same day, in daylight; do not store overnight or ferment.

If you need a simple Jain fasting and food-discipline overview, see this reference from JainKnowledge: