The order of your workout – exercise versus running – depends on your specific fitness goals.
Here's a breakdown:
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For Endurance Training (Like a 5K or Marathon): Run first. According to the reference material, if you're training for a 5K or a marathon, you will want to do cardiovascular training first for maximum performance.
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For Strength Gains: Exercise (strength training) first. The reference states that if you want to increase your muscle strength, do strength training first when your muscles are not fatigued from cardio. This allows you to lift heavier weights and build more muscle.
In summary, prioritize running before other exercise if your main goal is endurance performance and prioritize exercise before running if your main goal is building strength.