Actually, the mechanism of $\ce{Ag3N}$ creation (and also the associated products, Silver amide $\ce{AgNH2}$, and the imide $\ce{Ag2NH}$), have not been definitely accounted for, either by accident investigation reports or per a recent review of the literature, on possible paths to explosive Silver nitride.
I have ideas of a wider chemistry spectrum based answer which accounts for the apparent role involving $\ce{Ag2O}$.
To begin, I cite the more common background description, per a government source, to quote:
Silver nitride is an explosive chemical compound with symbol Ag3N. It is a black, metallic-looking solid which is formed when silver oxide or silver nitrate is dissolved in concentrated solutions of ammonia, causing formation of a silver-amide or imide complex which subsequently breaks down to Ag3N.
So, of interest is the cited reaction:
$\ce{Ag2O(s) + 4 NH3 + H2O ⇌ 2 [Ag(NH3)2]OH}$
where I would expect any Silver oxide formed from the reverse reaction of dissolving Ag2O in ammonia would then likely create a high surface area (with enhanced reactivity) $\ce{Ag2O}$. It should also importantly be noted that the reaction, itself, is reversible (see as a source, "Second year college chemistry" by William Henry Chapin, page 255), to quote:
As might be expected, the silver-ammonium complex dissociates slightly into its constituents as indicated by the equation
$\ce{[Ag(NH3)2]+ ⇌ Ag+ + 2 NH3}$
This is a reversible reaction, very much like the ionization of a very weak acid or base.
So, once any Ag2O is formed (by say moving the equilibrium to the left from a possible loss of water on standing in an open vessel or upon addition of dry alcohol), a radiation source could further accelerate the process (see, for example, Ag2O as a New Visible-Light Photocatalyst: Self-Stability and High Photocatalytic Activity). To quote from the abstract:
Ag2O is unstable under visible-light irradiation and decomposes into metallic Ag during the photocatalytic decomposition of organic substances. However, after partial in situ formation of Ag on the surface of Ag2O, the Ag2O-Ag composite can work as a stable and efficient visible-light photocatalyst.
As such, the introduction of appropriate light, or other irradiation paths (like X-rays commonly associated with radical formation) may be instrumental. In fact, here is an interesting pertinent radiation study: The X-ray activated reduction of silver (I) solutions as a method for nanoparticles manufacturing. To quote from a passage discussing an associated radiation treatment:
The next step was aimed at eliminating glucose-containing ammonia solutions. The reactions taking place in these solutions resulted sometimes in the formation of precipitates with unstable composition. These precipitates contained considerable amounts of silver nitride Ag3N, which formed in some ammonia solutions of the silver salts and exhibited explosive properties in a dry state [15]. The results from analysis of the deposits obtained for three selected types of solutions are presented in Table 1.
As the irradiation of glucose is a path to radicals, my proposed mechanics incorporates an ostensible promotive radical pathway for the allude to creation of $\ce{Ag3N, Ag2NH and AgNH2}$, which also appears to be accelerated in the presence of $\ce{OH- and Ag2O}$ in the presence of ammonia.
The proposed reaction path is:
$\ce{NH3 + H2O ⇌ NH4+ + OH-}$
$\ce{NH4+ ⇌ NH3 + H+}$
$\ce{[Ag(NH3)2]+ ⇌ Ag+ + 2 NH3}$ (per above)
In the further presence of light:
$\ce{Ag+ + hv -> •Ag + h+}$
Source: See Photodecomposition and Luminescence of Silver Halides
$\ce{OH- + h+ -> •OH + hv}$ (same source as above)
$\ce{OH- (aq) + hv -> •OH + e- (aq)}$
As a reference, see: Flash photolysis in the vacuum ultraviolet region of sulfate, carbonate, and hydroxyl ions in aqueous solutions
$\ce{NH3 + •OH -> •NH2 + H2O}$
From a related work: Kinetics and Mechanism of the Reaction of •NH2 with O2 in Aqueous Solutions
$\ce{NH3 + •H <=> •NH2 + H2}$
As noted in this work.
$\ce{•NH2 + e- -> NH2-}$
$\ce{Ag+ + NH2- <=> AgNH2}$
$\ce{AgNH2 -> Ag2NH + NH3}$
$\ce{AgNH2 + Ag2NH -> Ag3N + NH3}$
Note, my suggested pathway is largely promoted from the recognition of Ag2O as a recent (article was 2011) visible-light photocatalyst with the possible introduction of contributing radical based reactions.
In summary, I am suggesting chemically diverse mechanisms, involving both light and radical based reactions, as a more likely explanation.