Arcane Bombardment triggers, exiling a random instant or sorcery from your graveyard, and then casting a copy of Temporal Manipulation and Time Warp without paying their mana costs.
Resolve the Temporal Manipulation and Time Warp copies, causing you to take two extra turns after this one.
Resolve Inspiring Refrain, causing you to draw two cards and exile Inspiring Refrain with three time counters on it.
Activate Jhoira's Timebug by tapping it, removing a time counter from Inspiring Refrain.
Move to your first extra turn, removing a time counter from Inspiring Refrain during your upkeep.
Move to your second extra turn, removing a time counter from Inspiring Refrain during your upkeep.
Inspiring Refrain triggers, causing you to cast it from exile without paying its mana cost.
Repeat from step 2.
This loop turns a modest card-draw spell into an engine for infinite turns by exploiting the snowballing power of Arcane Bombardment. When you cast Inspiring Refrain, the enchantment triggers to copy and cast whichever extra turn spells—namely Temporal Manipulation and Time Warp—have accumulated in your graveyard. Once those resolve, you use Jhoira's Timebug to manipulate the time counters on the suspended Inspiring Refrain, accelerating its return so it can be cast again and continually feed the Bombardment.