The future planning session is set to start at 14:45 the day after tomorrow. Here's how I arrived at the answer: - The instruction mentioned three separate future events: a meeting, a lunch break, and a planning session. - The first meeting was originally at 2:30 PM and rescheduled to 4:15 PM, but this information is not necessary to answer the question. - The lunch break at 12:30 PM also does not inform the time of the planning session. - The planning session is the only event mentioned to be in the future concerning the context of "tomorrow" and then on "next week." - The time for the planning session is clearly given as 14:45, but the day is not specified in the immediate context; hence, it is assumed to be on the second day after the mentioned timeline. Therefore, the future event (planning session) starts at 14:45 the day after tomorrow.